Numerical Solutions of One-Dimensional Shallow Water Equations

Peter Crowhurst, Zhenquan Li

Research output: Book chapter/Published conference paperConference paper

2 Citations (Scopus)

Abstract

This paper investigates the application of finite difference methods to solve the Shallow Water Equations (SWE’s), in the context of mesh refinement through the introduction of an error tolerance. The problem is tackled by linearisation of the nonlinear differential equations through the discretization process. Once the set of equations have been linearised discretely, they are then solved. The solution set is then used to derive error values at nodes in space for individual time points.This error is then tested against a predefined tolerance; pending test results, the mesh is refined.
Original languageEnglish
Title of host publicationUKSim 2015
Subtitle of host publicationProceedings of UKSim-AMSS 17th International Conference on Computer Modelling and Simulation
EditorsZuwairie Ibrahim Zuwairie Ibrahim
Place of PublicationUnited States
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages55-60
Number of pages6
ISBN (Electronic)9780769549941
DOIs
Publication statusPublished - 2013
Event2015 17th UKSim-AMSS International Conference on Modelling and Simulation (UKSim) - Cambridge University, Cambridge, United Kingdom
Duration: 25 Mar 201527 Mar 2015
Conference number: 123957

Conference

Conference2015 17th UKSim-AMSS International Conference on Modelling and Simulation (UKSim)
CountryUnited Kingdom
CityCambridge
Period25/03/1527/03/15

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  • Cite this

    Crowhurst, P., & Li, Z. (2013). Numerical Solutions of One-Dimensional Shallow Water Equations. In Z. I. Z. Ibrahim (Ed.), UKSim 2015: Proceedings of UKSim-AMSS 17th International Conference on Computer Modelling and Simulation (pp. 55-60). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/UKSim.2013.63